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Finding the Fourth Proportional to 27,183.26, 40,775.16 and 7,461.82

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Solution

The fourth proportional to 27,183.26, 40,775.16 and 7,461.82 is: 11,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,183.26 : 40,775.16 = 7,461.82 : x
  2. Step 2: Convert to fraction form
    27,183.26/40,775.16 = 7,461.82/x
  3. Step 3: Cross multiply
    27,183.26x = 40,775.16 × 7,461.82
  4. Step 4: Simplify right side
    27,183.26x = 304,256,983.34
  5. Step 5: Solve for x
    x = 304,256,983.34/27,183.26
  6. Step 6: Final answer
    x = 11,192.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.